Adamczak, Radosław; Pivovarov, Peter; Simanjuntak, Paul Limit theorems for the volumes of small codimensional random sections of \(\ell_{p}^{n}\)-balls. (English) Zbl 07810666 Ann. Probab. 52, No. 1, 93-126 (2024). MSC: 60D05 52A22 60F05 PDFBibTeX XMLCite \textit{R. Adamczak} et al., Ann. Probab. 52, No. 1, 93--126 (2024; Zbl 07810666) Full Text: DOI arXiv Link
Fontanari, Claudio; Gattei, Stefano Francesco Severi’s mathematical library. (English) Zbl 07814275 Bini, Gilberto (ed.), Algebraic geometry between tradition and future. An Italian perspective. Proceedings of the INdAM workshop, Rome, Italy, December 6–8, 2021. Singapore: Springer. Springer INdAM Ser. 53, 5-57 (2023). MSC: 14-03 01A70 01A60 PDFBibTeX XMLCite \textit{C. Fontanari} and \textit{S. Gattei}, Springer INdAM Ser. 53, 5--57 (2023; Zbl 07814275) Full Text: DOI
Volkov, Boris O. Lévy Laplacians, holonomy group and instantons on 4-manifolds. (English) Zbl 1525.70047 Potential Anal. 59, No. 3, 1381-1397 (2023). Reviewer: Mohammad Khorrami (Tehrān) MSC: 70S15 70G45 PDFBibTeX XMLCite \textit{B. O. Volkov}, Potential Anal. 59, No. 3, 1381--1397 (2023; Zbl 1525.70047) Full Text: DOI arXiv
Liu, Cheng-Shi The average values of a kind of functionals in \(L^P\) and concentration without measure. (English) Zbl 07709791 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 26, No. 2, Article ID 2250024, 19 p. (2023). MSC: 28C20 PDFBibTeX XMLCite \textit{C.-S. Liu}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 26, No. 2, Article ID 2250024, 19 p. (2023; Zbl 07709791) Full Text: DOI
Kühn, Franziska; Schilling, René L. Maximal inequalities and some applications. (English) Zbl 1515.60064 Probab. Surv. 20, 382-485 (2023). Reviewer: Fraser Daly (Edinburgh) MSC: 60E15 60G15 60G44 60G51 60G53 60J25 42B25 42A61 PDFBibTeX XMLCite \textit{F. Kühn} and \textit{R. L. Schilling}, Probab. Surv. 20, 382--485 (2023; Zbl 1515.60064) Full Text: DOI arXiv Link
Cacciatori, Sergio L.; Ursino, Pietro Concentration of measure for classical Lie groups. (English) Zbl 1527.22014 Eur. J. Math. 9, No. 1, Paper No. 3, 26 p. (2023). MSC: 22E30 22D99 28A75 57N16 28A33 PDFBibTeX XMLCite \textit{S. L. Cacciatori} and \textit{P. Ursino}, Eur. J. Math. 9, No. 1, Paper No. 3, 26 p. (2023; Zbl 1527.22014) Full Text: DOI arXiv
Jeong, Kabgyun Sample-size-reduction of quantum states for the noisy linear problem. (English) Zbl 1518.81035 Ann. Phys. 449, Article ID 169215, 14 p. (2023). MSC: 81P68 68Q12 68Q32 62D05 60H50 68Q87 PDFBibTeX XMLCite \textit{K. Jeong}, Ann. Phys. 449, Article ID 169215, 14 p. (2023; Zbl 1518.81035) Full Text: DOI arXiv
Shioya, Takashi Metric measure geometry: an approach to high-dimensional and infinite-dimensional spaces. (English) Zbl 07735872 Sugaku Expo. 35, No. 2, 221-241 (2022); translation from Sūgaku 71, No. 2, 159-177 (2019). Reviewer: Thilo Kuessner (Eichstätt) MSC: 28A33 53C23 PDFBibTeX XMLCite \textit{T. Shioya}, Sugaku Expo. 35, No. 2, 221--241 (2022; Zbl 07735872); translation from Sūgaku 71, No. 2, 159--177 (2019) Full Text: DOI
Takatsu, Asuka Spectral convergence of high-dimensional spheres to Gaussian spaces. (English) Zbl 1522.58018 J. Spectr. Theory 12, No. 4, 1317-1346 (2022). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 58J50 35P20 PDFBibTeX XMLCite \textit{A. Takatsu}, J. Spectr. Theory 12, No. 4, 1317--1346 (2022; Zbl 1522.58018) Full Text: DOI arXiv
Kazukawa, Daisuke Convergence of metric transformed spaces. (English) Zbl 1514.53086 Isr. J. Math. 252, No. 1, 243-290 (2022). MSC: 53C23 PDFBibTeX XMLCite \textit{D. Kazukawa}, Isr. J. Math. 252, No. 1, 243--290 (2022; Zbl 1514.53086) Full Text: DOI arXiv
Pivato, Marcus A characterization of Cesàro average utility. (English) Zbl 1490.91099 J. Econ. Theory 201, Article ID 105440, 26 p. (2022). MSC: 91B16 91B14 PDFBibTeX XMLCite \textit{M. Pivato}, J. Econ. Theory 201, Article ID 105440, 26 p. (2022; Zbl 1490.91099) Full Text: DOI
Grechuk, Bogdan; Gorban, Alexander N.; Tyukin, Ivan Y. General stochastic separation theorems with optimal bounds. (English) Zbl 1521.68120 Neural Netw. 138, 33-56 (2021). MSC: 68T05 60D05 62H30 92C20 PDFBibTeX XMLCite \textit{B. Grechuk} et al., Neural Netw. 138, 33--56 (2021; Zbl 1521.68120) Full Text: DOI arXiv
Volkov, B. O. Applications of Lévy differential operators in the theory of gauge fields. (English. Russian original) Zbl 1468.60087 J. Math. Sci., New York 252, No. 1, 20-35 (2021); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 151, 21-36 (2018). MSC: 60H40 60H07 81S25 PDFBibTeX XMLCite \textit{B. O. Volkov}, J. Math. Sci., New York 252, No. 1, 20--35 (2021; Zbl 1468.60087); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 151, 21--36 (2018) Full Text: DOI
Sharafutdinov, G. Z. On the prediction of high-temperature creep processes in metals. (English. Russian original) Zbl 1490.74017 Mosc. Univ. Mech. Bull. 75, No. 3, 51-58 (2020); translation from Vestn. Mosk. Univ., Ser. I 75, No. 3, 25-31 (2020). MSC: 74C99 74F05 74R20 74A20 PDFBibTeX XMLCite \textit{G. Z. Sharafutdinov}, Mosc. Univ. Mech. Bull. 75, No. 3, 51--58 (2020; Zbl 1490.74017); translation from Vestn. Mosk. Univ., Ser. I 75, No. 3, 25--31 (2020) Full Text: DOI
Accardi, Luigi; Hasegawa, Ai; Ji, Un Cig; Saitô, Kimiaki White noise delta functions and infinite-dimensional Laplacians. (English) Zbl 1461.60060 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 23, No. 4, Article ID 2050028, 21 p. (2020). MSC: 60H40 46G12 46F25 PDFBibTeX XMLCite \textit{L. Accardi} et al., Infin. Dimens. Anal. Quantum Probab. Relat. Top. 23, No. 4, Article ID 2050028, 21 p. (2020; Zbl 1461.60060) Full Text: DOI
Volkov, Boris O. Lévy Laplacians and instantons on manifolds. (English) Zbl 1460.58005 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 23, No. 2, Article ID 2050008, 20 p. (2020). Reviewer: Daniel Beltiţă (Bucureşti) MSC: 58B20 53C07 70S15 58J35 PDFBibTeX XMLCite \textit{B. O. Volkov}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 23, No. 2, Article ID 2050008, 20 p. (2020; Zbl 1460.58005) Full Text: DOI arXiv
Zorich, V. A. A remark on the distribution of values for functions of a large number of variables. (English. Russian original) Zbl 1432.60037 Theory Probab. Appl. 64, No. 4, 631-635 (2020); translation from Teor. Veroyatn. Primen. 64, No. 4, 791-797 (2019). MSC: 60F05 60B10 PDFBibTeX XMLCite \textit{V. A. Zorich}, Theory Probab. Appl. 64, No. 4, 631--635 (2020; Zbl 1432.60037); translation from Teor. Veroyatn. Primen. 64, No. 4, 791--797 (2019) Full Text: DOI
Sandler, U. Lagrangian fuzzy dynamics and behavior of living beings in the environment: peace, war and ecological catastrophes. (English) Zbl 07566383 Physica A 526, Article ID 120801, 21 p. (2019). MSC: 82-XX PDFBibTeX XMLCite \textit{U. Sandler}, Physica A 526, Article ID 120801, 21 p. (2019; Zbl 07566383) Full Text: DOI
Gorban, Alexander N.; Burton, Richard; Romanenko, Ilya; Tyukin, Ivan Yu. One-trial correction of legacy AI systems and stochastic separation theorems. (English) Zbl 1448.68369 Inf. Sci. 484, 237-254 (2019). MSC: 68T01 60D05 60E15 68T05 68T07 68T09 PDFBibTeX XMLCite \textit{A. N. Gorban} et al., Inf. Sci. 484, 237--254 (2019; Zbl 1448.68369) Full Text: DOI arXiv
Volkov, Boris. O. Lévy Laplacian on manifold and Yang-Mills heat flow. (English) Zbl 1432.58009 Lobachevskii J. Math. 40, No. 10, 1619-1630 (2019). Reviewer: Georgios Kydonakis (Strasbourg) MSC: 58E15 58B20 PDFBibTeX XMLCite \textit{Boris. O. Volkov}, Lobachevskii J. Math. 40, No. 10, 1619--1630 (2019; Zbl 1432.58009) Full Text: DOI arXiv
Chow, Yat Tin; Gangbo, Wilfrid A partial Laplacian as an infinitesimal generator on the Wasserstein space. (English) Zbl 1422.60119 J. Differ. Equations 267, No. 10, 6065-6117 (2019). MSC: 60H30 35C05 35K05 35K08 PDFBibTeX XMLCite \textit{Y. T. Chow} and \textit{W. Gangbo}, J. Differ. Equations 267, No. 10, 6065--6117 (2019; Zbl 1422.60119) Full Text: DOI arXiv
Penenko, V. V.; Penenko, A. V.; Tsvetova, E. A.; Gochakov, A. V. Methods for studying the sensitivity of air quality models and inverse problems of geophysical hydrothermodynamics. (English. Russian original) Zbl 1418.86007 J. Appl. Mech. Tech. Phys. 60, No. 2, 392-399 (2019); translation from Prikl. Mekh. Tekh. Fiz. 60, No. 2, 238-246 (2019). MSC: 86A22 49N45 PDFBibTeX XMLCite \textit{V. V. Penenko} et al., J. Appl. Mech. Tech. Phys. 60, No. 2, 392--399 (2019; Zbl 1418.86007); translation from Prikl. Mekh. Tekh. Fiz. 60, No. 2, 238--246 (2019) Full Text: DOI
Volkov, Boris O. Lévy differential operators and gauge invariant equations for Dirac and Higgs fields. (English) Zbl 1509.70033 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 22, No. 1, Article ID 1950001, 20 p. (2019). MSC: 70S15 81V05 PDFBibTeX XMLCite \textit{B. O. Volkov}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 22, No. 1, Article ID 1950001, 20 p. (2019; Zbl 1509.70033) Full Text: DOI arXiv
Gorban, A. N.; Tyukin, I. Y. Blessing of dimensionality: mathematical foundations of the statistical physics of data. (English) Zbl 1470.82004 Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 376, No. 2118, Article ID 20170237, 18 p. (2018). MSC: 82B03 00A79 PDFBibTeX XMLCite \textit{A. N. Gorban} and \textit{I. Y. Tyukin}, Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 376, No. 2118, Article ID 20170237, 18 p. (2018; Zbl 1470.82004) Full Text: DOI arXiv
Tsar’kov, I. G. Smoothing of real-valued functions on uniformly smooth spaces. (English) Zbl 1416.46072 Russ. J. Math. Phys. 25, No. 3, 409-414 (2018). MSC: 46T20 PDFBibTeX XMLCite \textit{I. G. Tsar'kov}, Russ. J. Math. Phys. 25, No. 3, 409--414 (2018; Zbl 1416.46072) Full Text: DOI
Volkov, Boris O. Lévy Laplacians in Hida calculus and Malliavin calculus. (English. Russian original) Zbl 1451.60056 Proc. Steklov Inst. Math. 301, 11-24 (2018); translation from Tr. Mat. Inst. Steklova 301, 18-32 (2018). MSC: 60H07 60H40 PDFBibTeX XMLCite \textit{B. O. Volkov}, Proc. Steklov Inst. Math. 301, 11--24 (2018; Zbl 1451.60056); translation from Tr. Mat. Inst. Steklova 301, 18--32 (2018) Full Text: DOI arXiv
Shioya, Takashi; Takatsu, Asuka High-dimensional metric-measure limit of Stiefel and flag manifolds. (English) Zbl 1407.53039 Math. Z. 290, No. 3-4, 873-907 (2018). Reviewer: Bożena Piątek (Gliwice) MSC: 53C23 PDFBibTeX XMLCite \textit{T. Shioya} and \textit{A. Takatsu}, Math. Z. 290, No. 3--4, 873--907 (2018; Zbl 1407.53039) Full Text: DOI arXiv
Aubrun, Guillaume; Szarek, Stanisław Dvoretzky’s theorem and the complexity of entanglement detection. (English) Zbl 1404.81039 Discrete Anal. 2017, Paper No. 1, 20 p. (2017). MSC: 81P40 46B07 PDFBibTeX XMLCite \textit{G. Aubrun} and \textit{S. Szarek}, Discrete Anal. 2017, Paper No. 1, 20 p. (2017; Zbl 1404.81039) Full Text: DOI arXiv
Ohta, Shin-ichi Nonlinear geometric analysis on Finsler manifolds. (English) Zbl 1381.53147 Eur. J. Math. 3, No. 4, 916-952 (2017). MSC: 53C60 58J35 53C21 53-02 PDFBibTeX XMLCite \textit{S.-i. Ohta}, Eur. J. Math. 3, No. 4, 916--952 (2017; Zbl 1381.53147) Full Text: DOI arXiv
González-Guillén, Carlos E.; Lancien, Cécilia; Palazuelos, Carlos; Villanueva, Ignacio Random quantum correlations are generically non-classical. (English) Zbl 1380.81048 Ann. Henri Poincaré 18, No. 12, 3793-3813 (2017). MSC: 81P40 81P05 PDFBibTeX XMLCite \textit{C. E. González-Guillén} et al., Ann. Henri Poincaré 18, No. 12, 3793--3813 (2017; Zbl 1380.81048) Full Text: DOI arXiv
Volkov, Boris O. Stochastic Lévy differential operators and Yang-Mills equations. (English) Zbl 1393.70045 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 20, No. 2, Article ID 1750008, 23 p. (2017). MSC: 70S15 81S25 PDFBibTeX XMLCite \textit{B. O. Volkov}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 20, No. 2, Article ID 1750008, 23 p. (2017; Zbl 1393.70045) Full Text: DOI arXiv
Funano, Kei Estimates of eigenvalues of the Laplacian by a reduced number of subsets. (English) Zbl 1368.53033 Isr. J. Math. 217, 413-433 (2017). Reviewer: Miguel Paternain (Montevideo) MSC: 53C21 58J50 53C45 PDFBibTeX XMLCite \textit{K. Funano}, Isr. J. Math. 217, 413--433 (2017; Zbl 1368.53033) Full Text: DOI arXiv
Schechtman, Gideon Book review of: S. Artstein-Avidan et al., Asymptotic geometric analysis. I. (English) Zbl 1357.00012 Bull. Am. Math. Soc., New Ser. 54, No. 2, 341-345 (2017). MSC: 00A17 52-02 52A20 52A21 52A23 46B20 46B09 60D05 PDFBibTeX XMLCite \textit{G. Schechtman}, Bull. Am. Math. Soc., New Ser. 54, No. 2, 341--345 (2017; Zbl 1357.00012) Full Text: DOI
Bogdanskiĭ, Yu. V.; Potapenko, A. Yu. Laplacian with respect to a measure on a Riemannian manifold and the Dirichlet problem. I. (English. Russian original) Zbl 1499.58016 Ukr. Math. J. 68, No. 7, 1021-1033 (2016); translation from Ukr. Mat. Zh. 68, No. 7, 897-907 (2016). MSC: 58J05 35J05 35R01 58B20 PDFBibTeX XMLCite \textit{Yu. V. Bogdanskiĭ} and \textit{A. Yu. Potapenko}, Ukr. Math. J. 68, No. 7, 1021--1033 (2016; Zbl 1499.58016); translation from Ukr. Mat. Zh. 68, No. 7, 897--907 (2016) Full Text: DOI
Heilman, Steven; Mossel, Elchanan; Neeman, Joe Standard simplices and pluralities are not the most noise stable. (English) Zbl 1361.60013 Isr. J. Math. 213, 33-53 (2016). Reviewer: Marius Iosifescu (Bucureşti) MSC: 60D05 60G15 PDFBibTeX XMLCite \textit{S. Heilman} et al., Isr. J. Math. 213, 33--53 (2016; Zbl 1361.60013) Full Text: DOI arXiv
Volkov, B. O. Lévy d’Alambertians and their application in the quantum theory. (Russian. English summary) Zbl 1413.81036 Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 19, No. 2, 241-258 (2015). MSC: 81T13 PDFBibTeX XMLCite \textit{B. O. Volkov}, Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 19, No. 2, 241--258 (2015; Zbl 1413.81036) Full Text: DOI MNR
Feller, M. N. Boundary-value problems for a nonlinear hyperbolic equation with variable coefficients and the Lévy Laplacian. II. (English. Russian original) Zbl 1334.35411 Math. Notes 97, No. 6, 930-936 (2015); translation from Mat. Zametki 97, No. 6, 917-924 (2015). MSC: 35R15 PDFBibTeX XMLCite \textit{M. N. Feller}, Math. Notes 97, No. 6, 930--936 (2015; Zbl 1334.35411); translation from Mat. Zametki 97, No. 6, 917--924 (2015) Full Text: DOI
Zorich, V. A. Multidimensional geometry, functions of very many variables, and probability. (English) Zbl 1384.60045 Theory Probab. Appl. 59, No. 3, 481-493 (2015); translation from Teor. Veroyatn. Primen. 59, No. 3, 436–451 (2015). MSC: 60D05 60F05 60F15 60-02 PDFBibTeX XMLCite \textit{V. A. Zorich}, Theory Probab. Appl. 59, No. 3, 481--493 (2015; Zbl 1384.60045); translation from Teor. Veroyatn. Primen. 59, No. 3, 436--451 (2015) Full Text: DOI
Ozawa, Ryunosuke; Shioya, Takashi Limit formulas for metric measure invariants and phase transition property. (English) Zbl 1321.53048 Math. Z. 280, No. 3-4, 759-782 (2015). MSC: 53C23 PDFBibTeX XMLCite \textit{R. Ozawa} and \textit{T. Shioya}, Math. Z. 280, No. 3--4, 759--782 (2015; Zbl 1321.53048) Full Text: DOI arXiv
Cadeddu, Lucio; Gallot, Sylvestre; Loi, Andrea Maximizing mean exit-time of the Brownian motion on Riemannian manifolds. (English) Zbl 1317.49053 Monatsh. Math. 176, No. 4, 551-570 (2015). Reviewer: Andrew Bucki (Edmond) MSC: 49Q20 60J65 PDFBibTeX XMLCite \textit{L. Cadeddu} et al., Monatsh. Math. 176, No. 4, 551--570 (2015; Zbl 1317.49053) Full Text: DOI arXiv
Feller, M. N. Boundary-value problems for a nonlinear hyperbolic equation with variable coefficients and the Lévy Laplacian. (English. Russian original) Zbl 1323.35206 Math. Notes 96, No. 3, 423-431 (2014); translation from Mat. Zametki 96, No. 3, 440-449 (2014). MSC: 35R15 PDFBibTeX XMLCite \textit{M. N. Feller}, Math. Notes 96, No. 3, 423--431 (2014; Zbl 1323.35206); translation from Mat. Zametki 96, No. 3, 440--449 (2014) Full Text: DOI
Fukuda, Motohisa Revisiting additivity violation of quantum channels. (English) Zbl 1300.81016 Commun. Math. Phys. 332, No. 2, 713-728 (2014). MSC: 81P45 94A40 94A17 PDFBibTeX XMLCite \textit{M. Fukuda}, Commun. Math. Phys. 332, No. 2, 713--728 (2014; Zbl 1300.81016) Full Text: DOI arXiv
Roldán-Pensado, Edgardo; Soberón, Pablo An extension of a theorem of Yao and Yao. (English) Zbl 1298.52021 Discrete Comput. Geom. 51, No. 2, 285-299 (2014). Reviewer: Anton Shutov (Vladimir) MSC: 52C17 68U05 PDFBibTeX XMLCite \textit{E. Roldán-Pensado} and \textit{P. Soberón}, Discrete Comput. Geom. 51, No. 2, 285--299 (2014; Zbl 1298.52021) Full Text: DOI arXiv
Wacławczyk, Marta; Oberlack, Martin Application of the extended Lie group analysis to the Hopf functional formulation of the Burgers equation. (English) Zbl 1302.76151 J. Math. Phys. 54, No. 7, 072901, 19 p. (2013). MSC: 76M60 76F55 PDFBibTeX XMLCite \textit{M. Wacławczyk} and \textit{M. Oberlack}, J. Math. Phys. 54, No. 7, 072901, 19 p. (2013; Zbl 1302.76151) Full Text: DOI
Kovtun, I. I.; Feller, M. N. Boundary-value problems for a nonlinear hyperbolic equation with Lévy Laplacian. (English. Ukrainian original) Zbl 1273.35178 Ukr. Math. J. 64, No. 11, 1688-1697 (2013); translation from Ukr. Mat. Zh. 64, No. 11, 1492-1499 (2012). MSC: 35L20 35L71 PDFBibTeX XMLCite \textit{I. I. Kovtun} and \textit{M. N. Feller}, Ukr. Math. J. 64, No. 11, 1688--1697 (2013; Zbl 1273.35178); translation from Ukr. Mat. Zh. 64, No. 11, 1492--1499 (2012) Full Text: DOI
Funano, Kei; Shioya, Takashi Concentration, Ricci curvature, and eigenvalues of Laplacian. (English) Zbl 1277.53038 Geom. Funct. Anal. 23, No. 3, 888-936 (2013). Reviewer: Lizhen Ji (Ann Arbor) MSC: 53C23 60B05 PDFBibTeX XMLCite \textit{K. Funano} and \textit{T. Shioya}, Geom. Funct. Anal. 23, No. 3, 888--936 (2013; Zbl 1277.53038) Full Text: DOI
Martín, Joaquim; Milman, Mario Pointwise symmetrization inequalities for Sobolev functions and applications. (English) Zbl 1216.46026 Adv. Math. 225, No. 1, 121-199 (2010). Reviewer: Joan Cerdà (Barcelona) MSC: 46E30 46B70 46M35 28A12 PDFBibTeX XMLCite \textit{J. Martín} and \textit{M. Milman}, Adv. Math. 225, No. 1, 121--199 (2010; Zbl 1216.46026) Full Text: DOI arXiv
Táboas, Plínio Zornoff Three moments in the development of the theory of analytic functionals according to Luigi Fantappie. (Três momentos no desenvolvimento da teoria dos funcionais analíticos segundo Luigi Fantappiè.) (Portuguese. English summary) Zbl 1483.01035 Rev. Bras. Hist. Mat. 8, No. 15, 1-12 (2008). MSC: 01A70 46-03 PDFBibTeX XMLCite \textit{P. Z. Táboas}, Rev. Bras. Hist. Mat. 8, No. 15, 1--12 (2008; Zbl 1483.01035) Full Text: DOI
Lucas, L. J.; Owhadi, H.; Ortiz, M. Rigorous verification, validation, uncertainty quantification and certification through concentration-of-measure inequalities. (English) Zbl 1194.74550 Comput. Methods Appl. Mech. Eng. 197, No. 51-52, 4591-4609 (2008). MSC: 74S60 74K99 PDFBibTeX XMLCite \textit{L. J. Lucas} et al., Comput. Methods Appl. Mech. Eng. 197, No. 51--52, 4591--4609 (2008; Zbl 1194.74550) Full Text: DOI
Nathanson, Melvyn B.; Parikh, Rohit Density of sets of natural numbers and the Lévy group. (English) Zbl 1128.11006 J. Number Theory 124, No. 1, 151-158 (2007). Reviewer: Štefan Porubský (Praha) MSC: 11B05 11B13 11B75 PDFBibTeX XMLCite \textit{M. B. Nathanson} and \textit{R. Parikh}, J. Number Theory 124, No. 1, 151--158 (2007; Zbl 1128.11006) Full Text: DOI arXiv
Albeverio, S.; Belopolskaya, Ya.; Feller, M. The Cauchy problem for nonlinear parabolic equations with Lévy Laplacian. (English) Zbl 1091.35110 Potential Anal. 24, No. 2, 125-136 (2006). MSC: 35R15 35K55 46G05 PDFBibTeX XMLCite \textit{S. Albeverio} et al., Potential Anal. 24, No. 2, 125--136 (2006; Zbl 1091.35110) Full Text: DOI
Barthe, Franck Autour de l’inégalité de Brunn-Minkowski. (Around the Brunn-Minkowski inequality.) (French) Zbl 1052.52002 Ann. Fac. Sci. Toulouse, VI. Sér., Math. 12, No. 2, 127-178 (2003). Reviewer: Rolf Schneider (Freiburg i.Br.) MSC: 52A40 26D20 60E99 60F99 52-02 PDFBibTeX XMLCite \textit{F. Barthe}, Ann. Fac. Sci. Toulouse, Math. (6) 12, No. 2, 127--178 (2003; Zbl 1052.52002) Full Text: DOI Numdam Numdam EuDML
Liu, Kai; Chen, Anyue A class of generalized Lévy Laplacians in infinite dimensional calculus. (English) Zbl 1017.46028 Isr. J. Math. 124, 157-176 (2001). Reviewer: Rimas Norvaiša (Vilnius) MSC: 46F25 46G05 PDFBibTeX XMLCite \textit{K. Liu} and \textit{A. Chen}, Isr. J. Math. 124, 157--176 (2001; Zbl 1017.46028) Full Text: DOI
Ledoux, Michel The geometry of Markov diffusion generators. (English) Zbl 0980.60097 Ann. Fac. Sci. Toulouse, VI. Sér., Math. 9, No. 2, 305-366 (2000). Reviewer: Nicolas Privault (La Rochelle) MSC: 60J35 58J65 46E35 PDFBibTeX XMLCite \textit{M. Ledoux}, Ann. Fac. Sci. Toulouse, Math. (6) 9, No. 2, 305--366 (2000; Zbl 0980.60097) Full Text: DOI Numdam EuDML
Blümlinger, Martin Lévy group action and invariant measures on \(\beta\mathbb{N}\). (English) Zbl 0867.54037 Trans. Am. Math. Soc. 348, No. 12, 5087-5111 (1996). MSC: 54H20 PDFBibTeX XMLCite \textit{M. Blümlinger}, Trans. Am. Math. Soc. 348, No. 12, 5087--5111 (1996; Zbl 0867.54037) Full Text: DOI
Blümlinger, M.; Obata, N. Permutations preserving Cesàro mean, densities of natural numbers and uniform distribution of sequences. (English) Zbl 0735.11004 Ann. Inst. Fourier 41, No. 3, 665-678 (1991). MSC: 11B05 11K06 40G05 20B27 PDFBibTeX XMLCite \textit{M. Blümlinger} and \textit{N. Obata}, Ann. Inst. Fourier 41, No. 3, 665--678 (1991; Zbl 0735.11004) Full Text: DOI Numdam EuDML
Kuo, Hui-Hsiung; Obata, Nobuaki; Saitô, Kimiaki Lévy Laplacian of generalized functions on a nuclear space. (English) Zbl 0749.46029 J. Funct. Anal. 94, No. 1, 74-92 (1990). MSC: 46F25 46A11 60H15 PDFBibTeX XMLCite \textit{H.-H. Kuo} et al., J. Funct. Anal. 94, No. 1, 74--92 (1990; Zbl 0749.46029) Full Text: DOI
Hida, Takeyuki A note on generalized Gaussian random fields. (English) Zbl 0654.60037 J. Multivariate Anal. 27, No. 1, 255-260 (1988). MSC: 60G60 60H99 60G15 PDFBibTeX XMLCite \textit{T. Hida}, J. Multivariate Anal. 27, No. 1, 255--260 (1988; Zbl 0654.60037) Full Text: DOI
Bavard, Christophe; Pansu, Pierre Sur le volume minimal de \({\mathbb{R}}^ 2\). (On the minimal volume of \({\mathbb{R}}^ 2)\). (French) Zbl 0611.53038 Ann. Sci. Éc. Norm. Supér. (4) 19, No. 4, 479-490 (1986). MSC: 53C20 PDFBibTeX XMLCite \textit{C. Bavard} and \textit{P. Pansu}, Ann. Sci. Éc. Norm. Supér. (4) 19, No. 4, 479--490 (1986; Zbl 0611.53038) Full Text: DOI Numdam EuDML
Inoue, Atsushi Some examples exhibiting the procedures of renormalization and gauge fixing. - Schwinger-Dyson equations of first order. (English) Zbl 0596.35113 Kodai Math. J. 9, 134-160 (1986). Reviewer: V.Ya.Ivrij MSC: 35Q99 81T17 PDFBibTeX XMLCite \textit{A. Inoue}, Kodai Math. J. 9, 134--160 (1986; Zbl 0596.35113) Full Text: DOI
Kuo, Hui-Hsiung Fourier-Mehler transforms of generalized Brownian functionals. (English) Zbl 0545.60045 Proc. Japan Acad., Ser. A 59, 312-314 (1983). Reviewer: S.Takenaka MSC: 60G20 60H99 60J65 42B15 PDFBibTeX XMLCite \textit{H.-H. Kuo}, Proc. Japan Acad., Ser. A 59, 312--314 (1983; Zbl 0545.60045) Full Text: DOI
Kubo, Izumi; Takenaka, Shigeo Calculus on Gaussian white noise. IV. (English) Zbl 0511.60061 Proc. Japan Acad., Ser. A 58, 186-189 (1982). MSC: 60H99 60G20 60J65 PDFBibTeX XMLCite \textit{I. Kubo} and \textit{S. Takenaka}, Proc. Japan Acad., Ser. A 58, 186--189 (1982; Zbl 0511.60061) Full Text: DOI
Hida, Takeyuki White noise analysis and its applications. (English) Zbl 0495.60048 Proc. int. math. Conf., Singapore 1981, North-Holland Math. Stud. 74, 43-48 (1982). MSC: 60G20 81P20 60J65 60H15 PDFBibTeX XML
Fliess, Michel Fonctionnelles causales non linéaires et indéterminées non commutatives. (French) Zbl 0476.93021 Bull. Soc. Math. Fr. 109, 3-40 (1981). MSC: 93B15 32A05 32A25 PDFBibTeX XMLCite \textit{M. Fliess}, Bull. Soc. Math. Fr. 109, 3--40 (1981; Zbl 0476.93021) Full Text: DOI Numdam EuDML
Hasegawa, Yoshihei Levy’s functional analysis in terms of an infinite dimensional Brownian motion. II. (English) Zbl 0465.60071 Proc. Japan Acad., Ser. A 56, 114-119 (1980). MSC: 60J65 60J45 PDFBibTeX XMLCite \textit{Y. Hasegawa}, Proc. Japan Acad., Ser. A 56, 114--119 (1980; Zbl 0465.60071) Full Text: DOI
Hasegawa, Yoshihei Levy’s functional analysis in terms of an infinite dimensional Brownian motion. I. (English) Zbl 0465.60070 Proc. Japan Acad., Ser. A 56, 109-113 (1980). MSC: 60J65 60J45 PDFBibTeX XMLCite \textit{Y. Hasegawa}, Proc. Japan Acad., Ser. A 56, 109--113 (1980; Zbl 0465.60070) Full Text: DOI
Amir, D.; Milman, V. D. Unconditional and symmetric sets in \(n\)-dimensional normed spaces. (English) Zbl 0445.46011 Isr. J. Math. 37, 3-20 (1980). MSC: 46B15 26D20 46B25 46B20 PDFBibTeX XMLCite \textit{D. Amir} and \textit{V. D. Milman}, Isr. J. Math. 37, 3--20 (1980; Zbl 0445.46011) Full Text: DOI
Grinblat, L. S. Circles in the unit sphere of a Hilbert space. (English) Zbl 0395.46019 J. Funct. Anal. 31, 272-274 (1979). MSC: 46C05 PDFBibTeX XMLCite \textit{L. S. Grinblat}, J. Funct. Anal. 31, 272--274 (1979; Zbl 0395.46019) Full Text: DOI
Hida, Takeyuki Generalized multiple Wiener integrals. (English) Zbl 0389.60026 Proc. Japan Acad., Ser. A 54, 55-58 (1978). MSC: 60G20 60H05 PDFBibTeX XMLCite \textit{T. Hida}, Proc. Japan Acad., Ser. A 54, 55--58 (1978; Zbl 0389.60026) Full Text: DOI
Albeverio, Sergio; Høegh-Krohn, Raphael Dirichlet forms and diffusion processes on rigged Hilbert spaces. (English) Zbl 0342.60057 Z. Wahrscheinlichkeitstheor. Verw. Geb. 40, 1-57 (1977). MSC: 60J65 60J60 60J70 60K35 PDFBibTeX XMLCite \textit{S. Albeverio} and \textit{R. Høegh-Krohn}, Z. Wahrscheinlichkeitstheor. Verw. Geb. 40, 1--57 (1977; Zbl 0342.60057) Full Text: DOI
Grinblat, L. S. Compactifications of spaces of functions and integration of functionals. (English) Zbl 0341.46038 Trans. Am. Math. Soc. 217, 195-223 (1976). MSC: 46J10 54D35 28C20 60B10 PDFBibTeX XMLCite \textit{L. S. Grinblat}, Trans. Am. Math. Soc. 217, 195--223 (1976; Zbl 0341.46038) Full Text: DOI
Hasegawa, Yoshihei Average powers of Gaussian white noise. (English) Zbl 0301.60029 Proc. Japan Acad. 49, 669-671 (1973). MSC: 60G15 60B99 PDFBibTeX XMLCite \textit{Y. Hasegawa}, Proc. Japan Acad. 49, 669--671 (1973; Zbl 0301.60029) Full Text: DOI